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Stability Analysis of Finite Difference Approximations to Hyperbolic Systems,and Problems in Applied and Computational Matrix and Operator Theory.

机译:双曲型系统有限差分逼近的稳定性分析,应用与计算矩阵及算子理论问题。

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This report describes research in the following areas: Convenient stability criteria for difference approximations to hyperbolic initial-boundary value problems; Multiplicativity and stability of matrix and operator norms; Hadamard Products and Powers; Inequalities for Tensors; Inequalities for Generalized Matrix Functions; Inequalities for Eigenvalues and Singular Values; Distance Matrices; Numerical Range; Determinants of Sums. (KR)

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